# Grade - examples - page 161

- Arithmetic progression

In some AP applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d = ? - Stairway

Stairway has 20 steps. Each step has a length of 22 cm and a height of 15 cm. Calculate the length of the handrail of staircases if on the top and bottom exceeds 10 cm. - Efficiency

What is the power output of kettle 2 kW with efficiency 90%? - Tricolors

From the colors - red, blue, green, black and white, create all possible tricolors. - Book

Louise read from their favorite book for three days 18 pages. Every day read the same number of pages. How many pages she read every day? - AS - sequence

What are the first ten members of the sequence if a11=22, d=2. - Working together on project

Two employees working on the project. First make it alone for 20 days the second for 24 days. How many days will take to complete project if 5 days they work together then first will take two days holiday and after returning they completes a project toget - Price increase

A 20 percent price increase meant a 90-crown raise. How many cost a product after? - Cube 1-2-3

Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all edges of the cube is 30 cm. - Cylindrical tank

Cylindrical tank holds 600hl water and is deep 2.5 m. Calculate the diameter of the cylinder. - Volume increase

How many percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm? - A mast

A mast 32 meters high was broken by the wind so that its top touches the ground 16 meters from the pole. The still standing part of the mast, the broken part and the ground form a rectangular triangle. At what height was the mast broken? - Goat, cabbage and wolf

A man once had to travel with a wolf, a goat and a cabbage. He had to take good care of them, since the wolf would like to taste a.piece of goat if he would get the chance, while the goat appeared to long for a tasty cabbage. After some traveling, he sudde - Plane II

A plane flew 50 km on a bearing 63degrees20 and the flew on a bearing 153degrees20 for 140km. Find the distance between the starting point and the ending point - Adam and Ben

When Ben is so many years old to Adam today, Adam will be 23 years old. When Adam was as old as Ben, Ben was two years old. How old is today Ben and Adam? - Rhombus MATH

Construct a rhombus M A T H with diagonal MT=4cm, angle MAT=120° - Quadratic function 2

Which of the points belong function f:y= 2x^{2}- 3x + 1 : A(-2, 15) B (3,10) C (1,4) - Boys and girls

There are 48 children in the sports club, boys are 10 more than girls. How many girls go to the club? - LCD 2

The least common denominator of 2/5, 1/2, and 3/4 - Cargo

Car with cargo weight 7610 kg. Weight of car is 23% of the total weight of car and cargo. How heavy is cargo?

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